SOLUTION: Please help me solve this : |2X+1|-2<0 thanks.

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Question 817175: Please help me solve this : |2X+1|-2<0
thanks.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
abs%282x%2B1%29-2%3C0
First isolate the absolute value. Adding 2 we get:
abs%282x%2B1%29%3C2
Rewrite the inequality without absolute value. This results in two inequalities:
2x+1 < 2 and 2x+1 > -2
(The first one handles the case when 2x+1 is not negative and the second one handles the case when 2x+1 is negative.) Now we solve these:
2x < 1 and 2x > -3
Divide by 2:
x+%3C1%2F2 and x+%3E+-3%2F2